Question

The graphs of two polynomial equations do not intersect. Kelly concludes that the system has no solution. Which statement best explains why Kelly’s reasoning is correct or incorrect?.

Answer 1

A. She is incorrect because systems may have only complex solutions which are not visible on a graph.

Explanation:

Answer 2

Although the statements are not given, allow me to provide supplements to your understanding of polynomial equations. Because the graphs of two polynomial equations (let's name then f(x) and g(x)), then they do not share coordinate planes or points. If they do not share any points by intersection, then the system of equations does not have a solution. Therefore, Kelly's statement is correct.